November 2010
Intermediate to advanced
288 pages
8h 34m
English
This note describes the design of IIR phase-splitting networks that can be used to generate complex-valued analytic output signals from real-valued bandpass input signals. Refer to Note 60 for a discussion of analytic signals and their properties.
The analytic associate, xa[n], of a real bandpass signal, x[n], can be formed as
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where P and Q are all-pass filters that together comprise a phase-splitting network such that the phase of Q lags the phase of P by 90 degrees for all positive frequencies, and the phase of Q leads the phase of P by 90 degrees for all negative frequencies. ...
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